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P1.8P1. Motion, Forces and Energy

Pressure — Combined Science 0653 - Physics Revision Notes & Topical Questions

5 min read 8 parts Lesson 14 of 15 1 quiz

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P1.8 Pressure — COMBINED SCIENCE notes: Define pressure, use p = F/A, and explain how pressure in a liquid depends on depth and density.Pressure = the force acting perpendicular to a surface per unit area.p = F ÷ A, with p in pascals (Pa), F in N and A in m².What the symbols mean…

  • Rearranged forms
  • Area conversion
  • Several contact points
  • Same force, smaller area
  • Same force, larger area
  • All directions

Section 1 of 8Pressure

Pressure
Pressure the force acting perpendicular to a surface per unit area.
  • p = F ÷ A, with p in pascals (Pa), F in N and A in m².
    What the symbols mean: p = pressure (Pa = N m−2) · F = force acting at right angles to the surface (N) · A = area (m2)
Unit
  • 1 Pa = 1 N/m², and 1 kPa = 1000 Pa.
Rearranged forms
  • F = p × A and A = F ÷ p.
Area conversion
  • 1 cm² = 1 × 10−4 m², so divide cm² by 10 000 to get m².
Several contact points
  • Several contact points add their areas to find the total area.

Section 2 of 8Effect of area on pressure

Same force, smaller area
  • Same force, smaller area the pressure is larger.
Same force, larger area
  • Same force, larger area the pressure is smaller.
ObjectAreaEffect
Tractor with wide tyresLargeLow pressure, so it does not sink into mud
Drawing pin pointVery smallHigh pressure, so it pushes into a wall
High-heeled shoeSmallHigher pressure than a flat shoe, so it sinks into soft ground
Knife edge or needleVery smallHigh pressure, so it cuts easily

Section 3 of 8Pressure in a liquid

Cause
  • Cause the pressure in a liquid is caused by the weight of the liquid above the point.
Depth
  • Depth pressure increases with depth, so the highest pressure is at the bottom.
  • Water spurts out harder and further from a hole near the bottom of a container.
Density
  • Density a denser liquid exerts more pressure at the same depth.
  • Sea water is denser than fresh water, so it gives a greater pressure at the same depth.
All directions
  • All directions at a given depth the pressure acts equally in all directions and at right angles to every surface.
Dams
  • Dams they are thicker at the bottom because the water pressure is greatest at the greatest depth.

Section 4 of 8Calculating liquid pressure

Equation
  • Δp = ρ × g × Δh.
    What the symbols mean: p = pressure due to the liquid (Pa) · ρ = density of the liquid (kg m−3) · g = 9.81 N kg−1 · h = depth (m)
  • Δp is the change in pressure in Pa and ρ is the density in kg/m³.
  • g is the gravitational field strength in N/kg and Δh is the change in depth in m.
Rate of increase
  • Rate of increase in water the pressure rises by about 10 kPa for every metre of depth.
Total pressure
  • Total pressure the pressure at a depth in a liquid is the atmospheric pressure plus ρgh.

Section 5 of 8Atmospheric pressure

Cause
  • Cause the weight of the air above a surface.
Size
  • Size about 100 kPa at sea level.
Height
  • Height it decreases with height because there is less air above.

Section 6 of 8More from the specification

More from the specification
Normal perpendicular contact forces
  • Normal perpendicular contact forces fluid pressure exerts uniform perpendicular compressive forces acting evenly across every square metre of submerged surfaces.
Pressure
  • Pressure force per unit area, p = F/A, measured in pascals (N per m2)
Effect of area
  • Effect of area the same force on a smaller area gives greater pressure, which is why high heels sink into soft ground and knives cut well
Spreading force
  • Spreading force wide tyres or snowshoes spread the weight over a larger area, reducing pressure
Liquid pressure
  • Liquid pressure p = h x density x g, so pressure increases with depth and density
Measuring pressure
  • Measuring pressure a column of mercury or a manometer measures pressure differences, with relevant quantities being height, density and gravitational field strength
Pressure
  • Pressure force per unit area, p = F/A, measured in pascals (N per m2)
Effect of area
  • Effect of area the same force on a smaller area gives greater pressure, which is why high heels sink into soft ground and knives cut well
Spreading force
  • Spreading force wide tyres or snowshoes spread the weight over a larger area, reducing pressure
Liquid pressure
  • Liquid pressure p = h x density x g, so pressure increases with depth and density
Measuring pressure
  • Measuring pressure a column of mercury or a manometer measures pressure differences, with relevant quantities being height, density and gravitational field strength
Newton
  • The unit of force.
Spread
  • The difference between the smallest and largest repeated measurements.

Section 7 of 8Key terms

TermMeaning
PressureThe force acting perpendicular to a surface per unit area.
PascalThe unit of pressure, equal to 1 N/m².
Liquid pressurePressure caused by the weight of liquid above a point.
DensityMass per unit volume of a material.
Atmospheric pressureThe pressure caused by the weight of the air above.
DepthThe vertical distance below the surface of a liquid.

Section 8 of 8Exam technique

1
Using cm² directly in p = F/A — convert to m² first.
2
Saying liquid pressure depends on the shape of the container — it depends on depth and density.
3
Saying pressure acts only downwards in a liquid — it acts equally in all directions at a given depth.
4
Confusing force with pressure — pressure is force per unit area.
5
Using total depth of the container instead of the depth below the surface.

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